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Finding the Third Proportional to 98,397 and 213,102

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Solution

The third proportional to 98,397 and 213,102 is: 461,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,397 : 213,102 = 213,102 : x
  2. Step 2: Convert to fraction form
    98,397/213,102 = 213,102/x
  3. Step 3: Cross multiply
    98,397x = 213,102 × 213,102
  4. Step 4: Simplify right side
    98,397x = 45,412,462,404
  5. Step 5: Solve for x
    x = 45,412,462,404/98,397
  6. Step 6: Final answer
    x = 461,522.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.